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For volatile oil fluid model the oil sandface flowrate 

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bodyq_o
is related to surface flowrates of crude oil 
LaTeX Math Inline
bodyq_O
 and natural gas
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bodyq_G
 as as (see derivation):

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q_o = B_o \, (q_O - R_v \, q_G)

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q_o =  B_o \, q_O


See

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Also

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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing (WT) / Flowrate Testing / Flowrate

Well & Reservoir Surveillance ]Non-linear multi-phase diffusion derivation @model